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Finding the Fourth Proportional to 1,913.74, 2,640.39 and 1,167.46

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Solution

The fourth proportional to 1,913.74, 2,640.39 and 1,167.46 is: 1,610.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,913.74 : 2,640.39 = 1,167.46 : x
  2. Step 2: Convert to fraction form
    1,913.74/2,640.39 = 1,167.46/x
  3. Step 3: Cross multiply
    1,913.74x = 2,640.39 × 1,167.46
  4. Step 4: Simplify right side
    1,913.74x = 3,082,549.71
  5. Step 5: Solve for x
    x = 3,082,549.71/1,913.74
  6. Step 6: Final answer
    x = 1,610.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.